A solid cylinder of radius R slides on a rough horizontal surface. At t = 0, its has translational speed v₀ = 49 m·s⁻¹ perpendicular to its axis and its angular speed has magnitude v₀ ÷ (4R) about the centre. The coefficient of kinetic friction is μₖ = 0.25. Taking g = 9.8 m·s⁻², how long does it take for pure rolling to begin?
Physics · Rotational Motion · combined translatory and rotatory motion ,Pure rolling motion
A solid cylinder of radius R slides on a rough horizontal surface. At t = 0, its has translational speed v₀ = 49 m·s⁻¹ perpendicular to its axis and its angular speed has magnitude v₀ ÷ (4R) about the centre. The coefficient of kinetic friction is μₖ = 0.25. Taking g = 9.8 m·s⁻², how long does it take for pure rolling to begin?
Options